Theorems · Definition · measure theory
MeasureTheory.OuterMeasure.comap
{α : Type u_1} → {β : Type u_3} → (α → β) → MeasureTheory.OuterMeasure β →ₗ[ENNReal] MeasureTheory.OuterMeasure αPullback of an OuterMeasure: comap f μ s = μ (f '' s).
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- ENNRealstatement · cited by 9,879
- Set.imageproof · cited by 5,609
- Disjointproof · cited by 2,201
- Function.onFunproof · cited by 570
- Pairwiseproof · cited by 516
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
Cited by25
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.comapproof · cited by 96
- MeasureTheory.OuterMeasure.restrictproof · cited by 20
- MeasureTheory.Measure.comap_apply₀proof · cited by 6
- MeasureTheory.OuterMeasure.comap_applystatement · cited by 6
- MeasureTheory.Measure.comapₗproof · cited by 3
- MeasureTheory.OuterMeasure.comap_iInfstatement and proof · cited by 3
- MeasureTheory.OuterMeasure.isometry_comap_mkMetricstatement · cited by 3
- MeasureTheory.OuterMeasure.comap_iSupstatement and proof · cited by 2
- MeasureTheory.OuterMeasure.comap_ofFunctionstatement · cited by 2
- MeasureTheory.OuterMeasure.map_comapstatement · cited by 2
- MeasureTheory.Measure.le_comap_applyproof · cited by 2
- MeasureTheory.OuterMeasure.map_iInf_comapstatement and proof · cited by 2